Radial solutions for Neumann problems with $\phi$-Laplacians and pendulum-like nonlinearities | Zendy

Cristian Bereanu | Zendy; Petru Jebelean | Zendy; Jean Mawhin | Zendy

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Radial solutions for Neumann problems with $\phi$-Laplacians and pendulum-like nonlinearities

Author(s) -

Cristian Bereanu,

Petru Jebelean,

Jean Mawhin

Publication year - 2010

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2010.28.637

Subject(s) - mathematics , ball (mathematics) , laplace operator , mathematical analysis , pendulum , minkowski space , euclidean geometry , multiplicity (mathematics) , curvature , domain (mathematical analysis) , regular polygon , neumann boundary condition , degree (music) , pure mathematics , mathematical physics , physics , geometry , boundary value problem , quantum mechanics , acoustics

In this paper we study the existence and multiplicity of radial solutions for Neumann problems in a ball and in an annular domain, associated to pendulum-like perturbations of mean curvature operators in Euclidean and Minkowski spaces and of the p-Laplacian operator. Our approach relies on the Leray-Schauder degree and the upper and lower solutions method

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